Infrared cutoff dependence of the critical flavor number in three-dimensional QED

Abstract

We solve, analytically and numerically, a gap equation in parity invariant QED_3 in the presence of an infrared cutoff μand derive an expression for the critical fermion number N_c as a function of μ. We argue that this dependence of N_c on the infrared scale might solve the discrepancy between continuum Schwinger-Dyson equations studies and lattice simulations of QED_3.

arXiv comment5 pages, 1 figure (revtex4), final version

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• Critical behavior of the (2+1)-dimensional Thirring model
• No evidence for bilinear condensate in parity-invariant three-dimensional QED with massless fermions
• Interaction and excitonic insulating transition in graphene
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• Dynamical Fermion Masses and Constraints of Gauge Invariance in Quenched QED3
• Numerical evidence of conformal phase transition in graphene with long-range interactions
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• Dynamical chiral symmetry breaking in QED${}_3$ at finite density and impurity potential
• Parity Symmetry in QED3
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• The chiral phase transition of QED${}_3$ around the critical number of fermion flavors
• Fermion Propagator in Quenched QED3 in the light of the Landau-Khalatnikov-Fradkin transformation
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Four-loop singularities of the massless fermion propagator in quenched three-dimensional QED
• Infrared behavior of dynamical fermion mass generation in QED${}_3$
• An alternative approach to dynamical mass generation in QED3
• Effects of Anisotropy in (2+1)-dimensional QED
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
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• Fluctuation Effect in the π-flux State for Undoped High-Temperature Superconductors